106951248 has 30 divisors (see below), whose sum is σ = 299315354. Its totient is φ = 35650368.

The previous prime is 106951193. The next prime is 106951249. The reversal of 106951248 is 842159601.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 20684304 = 9288^2 + 4548^2 .

It is a super-2 number, since 2×106951248² = 22877138897515008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106951249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371215 + ... + 371502.

Almost surely, 2^106951248 is an apocalyptic number.

106951248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106951248 is an abundant number, since it is smaller than the sum of its proper divisors (192364106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106951248 is a wasteful number, since it uses less digits than its factorization.

106951248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742731 (or 742722 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106951248 is about 10341.7236474390. The cubic root of 106951248 is about 474.6738266745.

The spelling of 106951248 in words is "one hundred six million, nine hundred fifty-one thousand, two hundred forty-eight".